A standard black ice hockey puck should weight about6 ounce. Therefore, a puck manufacturer calibrates its machine to produce balls at an average 6.0 ounces with a standard deviation0.4. It also conduct periodic checks with a sample of 49 pucks every time. The company generates the following sample means: 6.14,5.88, 6.10, 6.15, 6.09, 6.16

1. As a quality manager, calculate UCL and LCK and plot the X chart of the baseball weight manually.

2. Determine whether the machine is under control? Explain.